A1: Generate State $i \ket{1}$

Quantum computers use the concept of "quantum gates" to manipulate the state of qubits.

In this problem, you can transition from the zero state $\ket{0}$ to the state $i\ket{1}$ using the $Y$ gate.

By applying the $Y$ gate to the quantum state $\ket{0}$, we obtain the quantum state $i\ket{1}$:

When this qubit is measured, the computational basis state $\ket{1}$ is observed with a probability of $1$.

Since $i = e^{i \pi / 2}$, the global phase of the state is $\pi / 2$.

Sample Code

Below is a sample program:

from qiskit import QuantumCircuit
 
 
def solve() -> QuantumCircuit:
    qc = QuantumCircuit(1)
 
    # Apply PauliY gate to the 1st qubit (index 0)
    qc.y(0)
 
    return qc

Supplementary Information

• There are many types of quantum gates. Understanding the meaning and function of each quantum gate can be helpful in solving future problems:
  • List of quantum logic gates (Wikipedia)